Given numbers are 542,672,678,457,950

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 542,672,678,457,950 is 4467111751200.

Find LCM of 542,672,678,457,950 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 271 x 112 x 113 x 457 x 475 = 4467111751200

Therefore, the lowest common multiple of 542,672,678,457,950 is 4467111751200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

542 x 672 x 678 x 457 x 950 = 107210682028800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

542 : 1, 2, 271, 542

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

678 : 1, 2, 3, 6, 113, 226, 339, 678

457 : 1, 457

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,672,678,457,950, is 1.

Now, the common factors can be found like this.

542:2x 271

672:2x 2x 2x 2x 2x 3x 7

678:2x 3x 113

457:457

950:2x 5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 107210682028800/(1x24)

LCM = 107210682028800/24

LCM = 4467111751200

Thus, we can understand that the LCM of 542,672,678,457,950 is 4467111751200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 923, 404, 211, 692, 379
• LCM of 269, 392, 690, 671, 374
• LCM of 749, 764, 105, 848, 616
• LCM of 483, 771, 291, 410, 945
• LCM of 879, 469, 997, 584, 916

1. What is the LCM of 542, 672, 678, 457, 950?

Answer: LCM of 542, 672, 678, 457, 950 is 4467111751200.

2. How to calculate the LCM of 542, 672, 678, 457, 950?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 542, 672, 678, 457, 950.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.